| Presentation | 2019-10-22 Discussion on Modeling Nano-Carbon Electrons by Classical Probabilistic Particles Shota Hayakawato, Ibuki Nakamura, Hisato Fujisaka, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | The behavior of electrons on graphene is described by massless Dirac equation whose solution is a quantum wave with pseudo-spin. Stochastic quantization is a description of quantum particles by classical probabilistic particles. The Parisi-Wu method might be a suitable stochastic quantization for the graphene system. However, the method requires large computational cost to obtain sample electron trajectories on a graphene sheet. In this manuscript, it is shown that sample electron trajectories are computed as numerical solutions of a generalized Langevin equation established by the Nelson’s method if the probability density function and the probability density current for the electron are obtained. Numerical examples of electron trajectories on a graphene nano-ribbon with zigzag edges are presented. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | graphene / Dirac equation / stochastic quantization / probabilistic particle / Langevin equation |
| Paper # | CAS2019-35,NLP2019-75 |
| Date of Issue | 2019-10-15 (CAS, NLP) |
| Conference Information | |
| Committee | NLP / CAS |
|---|---|
| Conference Date | 2019/10/22(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Gifu Univ. |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Mathematical modeling, numerical simulation etc. |
| Chair | Hiroaki Kurokawa(Tokyo Univ. of Tech.) / Taizo Yamawaki(Hitachi) |
| Vice Chair | Kiyohisa Natsume(Kyushu Inst. of Tech.) / Yasuhiro Takashima(Univ. of Kitakyushu) |
| Secretary | Kiyohisa Natsume(Nippon Inst. of Tech.) / Yasuhiro Takashima(Kyushu Inst. of Tech.) |
| Assistant | Yutaka Shimada(Saitama Univ.) / Toshikaza Samura(Yamaguchi Univ.) / Hiroki Sato(Sony LSI Design) / Motoi Yamaguchi(Renesas Electronics) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Circuits and Systems |
|---|---|
| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Discussion on Modeling Nano-Carbon Electrons by Classical Probabilistic Particles |
| Sub Title (in English) | |
| Keyword(1) | graphene |
| Keyword(2) | Dirac equation |
| Keyword(3) | stochastic quantization |
| Keyword(4) | probabilistic particle |
| Keyword(5) | Langevin equation |
| 1st Author's Name | Shota Hayakawato |
| 1st Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 2nd Author's Name | Ibuki Nakamura |
| 2nd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| 3rd Author's Name | Hisato Fujisaka |
| 3rd Author's Affiliation | Hiroshima City University(Hiroshima City Univ.) |
| Date | 2019-10-22 |
| Paper # | CAS2019-35,NLP2019-75 |
| Volume (vol) | vol.119 |
| Number (no) | CAS-237,NLP-238 |
| Page | pp.pp.61-66(CAS), pp.61-66(NLP), |
| #Pages | 6 |
| Date of Issue | 2019-10-15 (CAS, NLP) |